Title :
Partially singular linear-quadratic control problems
Author_Institution :
University of Newcastle, Newcastle, NSW, Australia
fDate :
8/1/1973 12:00:00 AM
Abstract :
Necessary and sufficient conditions are given for the nonnegativity of a partially singular quadratic functional associated with a linear system. The conditions parallel known conditions for the totally singular problem, and a known sufficiency condition for the partially singular problem can be derived from them.
Keywords :
Linear systems, time-varying continuous-time; Singular optimal control; Algebra; Australia; Jacobian matrices; Linear systems; Optimal control; Sufficient conditions; Symmetric matrices; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1973.1100323